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The influence of fluid inertia on the stability of a plain journal bearing incorporating a complete oil film

Published online by Cambridge University Press:  21 April 2006

D. Collins ,
M. D. Savage  and
C. M. Taylor
D. Collins
Affiliation:
Department of Applied Mathematical Studies, University of Leeds, Leeds LS2 9JT
M. D. Savage
Affiliation:
Department of Applied Mathematical Studies, University of Leeds, Leeds LS2 9JT
C. M. Taylor
Affiliation:
Department of Mechanical Engineering, University of Leeds, Leeds LS2 9JT
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Abstract

The static equilibrium of a journal rotating within a circular bush in the presence of a complete oil film is considered. Fluid inertia, though having negligible effect on load capacity and attitude angle, is shown to provide an important stabilizing mechanism. For any bearing (with specified geometry and lubricant) there is both a characteristic neutral stability curve and a characteristic operating curve which may intersect in two positions. Analysis of the weakly nonlinear motion, in the vicinity of the neutral curve, reveals the existence of stable, small-amplitude limit cycles which may be either subcritical or supercritical according to where the operating and neutral curves intersect.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 168 , July 1986 , pp. 415 - 430
Copyright
© 1986 Cambridge University Press

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References

Cole J. A.1957 Film extent and whirl in complete journal bearings. Conf. on Lubrication and Wear. Inst. of Mech. Engrs.
Dowson, D. & Taylor C. M.1979 Cavitation in bearings. Ann. Rev. Fluid Mech. 11, 35–66.Google Scholar
Gantmacher F. R.1959 The Theory of Matrices II. Chelsea.
Gardner M. T., Myers C. J., Savage, M. D. & Taylor C. M.1984 Nonlinear analysis of fluid film bearing stability. 10th Leeds—Lyon Symp. on Tribology. Butterworths.Google Scholar
Gardner M. T., Myers C. J., Savage, M. D. & Taylor C. M.1985 Analysis of limit-cycle response in fluid-film journal bearings using the method of multiple scales. Q. J. Mech. Appl. Maths 38, 27–45.Google Scholar
Myers C. J.1981 Linear and nonlinear vibrational characteristics of oil lubricated journal bearings. Ph.D. thesis, University of Leeds.
Pinkus, O. & Sternlicht B.1961 Theory of Hydrodynamic Lubrication. McGraw-Hill.
Poritsky H.1953 Contribution to the theory of oil whip. Trans. ASME 75, 1153–1161.Google Scholar
Reinhardt, E. & Lund J. W.1975 The influence of fluid inertia on the dynamic properties of journal bearings. Trans. ASME F: J. Lubric. Tech. 97, 159–167.Google Scholar
Savage M. D.1977 Cavitation in lubrication. Part 1. On boundary conditions and cavity-fluid interfaces. J. Fluid Mech. 80, 743–755.Google Scholar
Simons E.1950 The hydrodynamic lubrication of cyclically loaded bearings. Trans. ASME 72, 805–816.Google Scholar